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10 Math Courses at Carnegie Mellon University

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Lauraanna Quinting

Carnegie Mellon University is a private research university based in Pittsburgh, Pennsylvania. One of the most notable alumni Holly Patricia Hunter is an American actress. Continue reading to learn of 10 different math courses you should check out at Carnegie Mellon University.

1. 127 Concepts of Mathematics

Carnegie Mellon University mathematical science students

This course introduces the basic concepts, ideas and tools involved in doing mathematics. Students will learn about logic by using the methods of mathematical proof. Students will also learn about the algebra sets, relations, equivalence relations, congruences, partitions and functions.

The professor of the course is Gregory Johnson. The course is worth
3 hours of lecture and 2 hours of rec. This course is a great course to take as it is applicable in other study fields such as computer science.

2. 128 Mathematical Concepts and Proofs

Carnegie Mellon University math students solving math problem in class

This course is intended for MCS first-semester students who are interested in pursuing a major in mathematical sciences. The course introduces informal logic and the methods of mathematical proof. Students will learn about elementary number theory, induction and bijections.

The professor of the course is Gregory Johnson. The course is open during the fall semester and is worth 12 units. The course lasts up to 3 separate 50 min class time. This is an ideal course to take for those looking to learn more about logic.

3. 21-228 Discrete Mathematics

Carnegie Mellon University math teacher with students

This course introduces two of the fundamental areas of discrete mathematics. Students will learn about enumeration and graph theory. Students will also learn about discrete probability, combinatorial distributions, and recurrence relations.

The prerequisite of the course is completion of math21-128, 15-151 or 21-127 . The course is taught by professor Gregory Johnson. The course is offered during the fall and the spring semesters and is worth 9 units.

4. 21-241 Matrices and Linear Transformations

linear transformation

This course is the first course in linear algebra. This course is intended for scientists, engineers, mathematicians, and computer scientists. Students will learn about complex numbers, real and complex vectors and matrices, and linear transformations.

This course is offered during all of the semesters and is worth 10 units. The course recommends students to have already taken the course of
21-127. The professor of the course is Gregory Johnson.

5. 21-254 Linear Algebra and Vector Calculus for Engineers

Carnegie Mellon University math teacher and student

This course will introduce the fundamentals of vector calculus and linear algebra. Students will be introduced to vector and matrix operations, determinants, and linear systems. Students will also learn about matrix eigenvalue problems, vector differential calculus including gradient, and divergence.

The course is geared towards those who are needing math credit but also are in the engineering program. The course is taught by professor Gregory Johnson. The course is worth 11 units and is offered during the fall and spring semesters.

6. 21-260 Differential Equations

laplace transform

This course covers differential equations. Students will learn about first and second-order equations. Students will also learn about applications, Laplace transforms, and partial differential equations.

The prerequisites of the course is the completion of 21-259, 21-268 or 21-269. The course is offered for all of the semesters. The course is worth 9 units. The course has 3 lecture hours. The professor of the course John MacKey.

7. 21-270 Introduction to Mathematical Finance

static hedging


This is the first course for those who are studying Computational Finance. The course teaches students about static hedging, which is used to discuss the net present value of a non-random cash flow and internal rate of return. The course teaches great real-world skills that prepare students for making financial situations.

The prerequisite of the course is the completion of math 21-120 or 21-112 . The course is offered during the spring semester and is worth 9 units. The course is taught by professor John MacKey.

8. 21-341 Linear Algebra

vector space model

This course is a mathematically rigorous treatment of Linear Algebra over an arbitrary field. Students will learn about abstract vector spaces, linear transformations, and determinants. Students will also learn about eigenvalues, eigenvectors, and inner products.

The prerequisite of the course is the completion of either math 21-241 and 21-373 or math 21-242. The course is open to students in the fall and spring semesters. The course is worth 9 units and is taught by professor John MacKey.

9. 21-325 Probability

probability with a coin and a dice

This course focuses on the understanding of basic concepts in probability theory. Students will learn concepts that are useful in the subjects of computational biology, finance, engineering, and computer science. Students will learn about probability spaces, random variables, random vectors, multivariate densities, distributions, and Markov chains.

The prerequisite of the course is the completion of math21-268, 21-269 or 21-259. The course is open during the fall and spring semesters and is worth 9 units. The professor of the course is John MacKey.

10. 21-301 Combinatorics

the basics of combinatorics

Combinatorics is a course that concentrates on algebraic methods. Students will learn about permutations and combinations, generating functions, and recurrence relations. Students will also learn about existence proofs, partitions, finite calculus, generating combinatorial objects, Polya Theory, codes, and probabilistic methods.

The prerequisites of the course are the completion of math 21-122 and either math 15-251 or 21-228. The course is offered during the fall and spring semesters. The professor of the course is John MacKey.

Carnegie Mellon University offers a wide selection of math courses. There are more basic math courses such as Concepts of Mathematics. There are also more tailored math courses such as Mathematical Finance for certain majors.

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